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Kim uses the Fermi process to estimate the number of buckets of rocks she could store in a warehouse. The buckets are shaped like cylinders. The warehouse is shaped like a rectangular prism.

She estimates the buckets have a height of 25 inches and a diameter of 10 inches.

She estimates the warehouse is 100 feet long, 50 feet wide, and 20 feet high.

Which expression should Kim use in the process?

 Nov 28, 2017
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Not sure what the Fermi Process is...but  here is an approach :

 

We will have some  empty space around each bucket....each bucket would occupy a prism with a volume of  [10 *10 * 25 ]  = 2500 in^3

 

The height of each bucket is 25 in   and the height of the warehouse is 240 in

 

So......20*12 / 25  ≈  9 buckets could be stacked

And in one row,  50*12/10  =  60 buckets   could be accomodated

And the number of rows is 120*12/10  =  120

 

So....the approximate number of buckets that the warehouse could hold is

 

9 * 60 * 120    =  64800 buckets

 

 

cool cool cool

 Nov 28, 2017

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